A trough has a semicircular cross section with a radius of 5 feet. Water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 2 inches per hour. water 5 ft cross-section of trough WebAssign Plot (a) Give a function w = f(t) relating the width w, in feet of the surface of the water to the time t, in hours. Make sure to specify the domain and compute the range too. w = 2 10 (5) -12(b) After how many hours will the surface of the water have width of 6 feet? (Round your answer to two decimal places.) 6 hr (c) Give a function & = fo(w) relating the time to the width of the surface of the water. Make sure to specify the domain and compute the range too. t = V 900 + 9w- + 30 X Domain: O -60 s w s 30 Ooswa O -10 s w s 10 Oosws 30 Oosws 10 Range: Oosts 30 O -co